Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248m |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13579251941376 = -1 · 216 · 310 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1089,-177471] |
[a1,a2,a3,a4,a6] |
Generators |
[13233:291772:27] |
Generators of the group modulo torsion |
j |
-2181354052/207202941 |
j-invariant |
L |
4.8574767332874 |
L(r)(E,1)/r! |
Ω |
0.31255205177487 |
Real period |
R |
7.7706684460182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cd2 7656g2 |
Quadratic twists by: -4 8 |